Arbitrage Pricing Theory Problems Solutions
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Asset Pricing
Author: B.Philipp Kellerhals
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-11-02
The modern field of asset pricing asks for sound pricing models grounded on the theory of financial economies a la Ingersoll (1987) as weIl as for accu rate estimation techniques a la Hamilton (1994b) when it comes to empirical inferences of the specified model. The idea behind this book on hand is to provide the reader with a canonical framework that shows how to bridge the gap between the continuous-time pricing practice in financial engineering and the capital market data inevitably only available at discrete time intervals. Three major financial markets are to be examined for which we select the equity market, the bond market, and the electricity market. In each mar ket we derive new valuation models to price selected financial instruments in continuous-time. The decision criterium for choosing a continuous-time model ing framework is the richness of the stochastic theory available for continuous time processes with Merton's pioneering contributions to financial economics, collected in Merton (1992). The continuous-time framework, reviewed and as sessed by Sundaresan (2000), allows us to obtain analytical pricing formulae that would be unavailable in a discrete time setting. However, at the time of implementing the derived theoretical pricing models on market data, that is necessarily sampled at discrete time intervals, we work with so-called exact discrete time equivalents a la Bergstrom (1984). We show how to conveniently work within astate space framework which we derive in a general setting as weIl as explicitly for each of the three applications.
Fundamental Problems and Solutions in Finance
This book provides innovative solutions to fundamental problems in finance, such as the valuation of bond and equity, the pricing of debt, equity and total asset, the determination of optimal capital structure, etc., which are unsolved or poor-solved so far. The solutions in this book all have the following features: Based on essential assumptions in line with reality, the final solutions are analytical solutions with closed-form models, the forms and variables of the models are determined by strict and objective logic processes rather than chosen or presumed subjectively, such as the new growth model for stock valuation, the new CAPM accounting for total risk rather than only systematic risk, the real solution to optimal capital structure based on the trade-off between tax shield and bankruptcy cost. In addition, these basic solutions or models are adjusted easily to various application scenarios.